5434646144364 has 144 divisors (see below), whose sum is σ = 14310126868128. Its totient is φ = 1803450728448.

The previous prime is 5434646144339. The next prime is 5434646144449. The reversal of 5434646144364 is 4634416464345.

5434646144364 is a `hidden beast` number, since 5 + 4 + 3 + 464 + 6 + 144 + 36 + 4 = 666.

It is a super-2 number, since 2×5434646144364² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5434646144364.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512842314 + ... + 512852910.

Almost surely, 2^{5434646144364} is an apocalyptic number.

5434646144364 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5434646144364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7155063434064).

5434646144364 is an abundant number, since it is smaller than the sum of its proper divisors (8875480723764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5434646144364 is a wasteful number, since it uses less digits than its factorization.

5434646144364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12926 (or 12912 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 54.

The spelling of 5434646144364 in words is "five trillion, four hundred thirty-four billion, six hundred forty-six million, one hundred forty-four thousand, three hundred sixty-four".